This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To find the Least Common Multiple (LCM) of 23 and 45, we can use the prime factorization method. Step 1: Find the prime factorization of each number. 23 is a prime number, so its prime factorization is just 23. 45 = 5 × 9 = 5 × 3 × 3 = 3² × 5. Step 2: Identify all unique prime factors from both factorizations and take the highest power of each. The unique prime factors are 3, 5, and 23. The highest power of 3 is 3². The highest power of 5 is 5¹. The highest power of 23 is 23¹. Step 3: Multiply these highest powers together to find the LCM. LCM(23, 45) = 3² × 5 × 23 LCM(23, 45) = 9 × 5 × 23 LCM(23, 45) = 45 × 23 Step 4: Calculate the final product. 45 × 23 = 1035 The LCM of 23 and 45 is 1035. Send me the next one 📸